JEE Main 2025 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 4 April 2025, Shift 2, Maths Q10

Question 10 of 75 in this shift, Maths question 10 of 25, Section A.

Let for two distinct values of p the lines

y=x+p

touch the ellipse

E:\frac{x^2}{4^2}+\frac{y^2}{3^2}=1

at the points A and B. Let the line

y=x

intersect E at the points C and D. Then the area of the quadrilateral ABCD is equal to :

(1)20
(2)24Official answer
(3)36
(4)48

Official answer

Option 2

NTA final key.

Chapter: Conic Sections
Topic: General Conic Section
Idea tested: Condition for Line to be Tangent

Same idea in other shifts

Asked 5× in all

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.